document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126353>Question 1126353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that tan x + cot x = _ 2/sine x  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742665 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29%2Bcot%28x%29+=+2%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"tan%28x%29%2Bcot%28x%29+=+2%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Fcos%28x%29%2Bcos%28x%29%2Fsin%28x%29+=+2%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29%2Fcos%28x%29%2Bcos%28x%29%2Fsin%28x%29+=+2%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29sin%28x%29%2Fcos%28x%29sin%28x%29%2Bcos%28x%29cos%28x%29%2Fsin%28x%29cos%28x%29+=+2%2Fsin%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%28x%29cos%28x%29+=+2%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28x%29cos%28x%29+=+2%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282x%29+=+2+sin%28x%29+cos%28x%29 ALIGN=MIDDLE  ALT=\"sin%282x%29+=+2+sin%28x%29+cos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%282x%29+=+1%2F2%28sin%28x%29+cos%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%282x%29+=+1%2F2%28sin%28x%29+cos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsin%282x%29+=+1%2F%28sin%28x%29+cos%28x%29%29 ALIGN=MIDDLE  ALT=\"2%2Fsin%282x%29+=+1%2F%28sin%28x%29+cos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your original premise was wrong, a typo, missing the sin(2x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=FrankM&illustration_name=tan\">.\r<BR>\n" );
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document.write( "I graphed the 2 equations, and you see, they are the same. When doing this type of problem, graphing provides a nice way to check work. \r<BR>\n" );
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